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Finding the Fourth Proportional to 33,340.68, 50,018.04 and 12,564

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Solution

The fourth proportional to 33,340.68, 50,018.04 and 12,564 is: 18,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,340.68 : 50,018.04 = 12,564 : x
  2. Step 2: Convert to fraction form
    33,340.68/50,018.04 = 12,564/x
  3. Step 3: Cross multiply
    33,340.68x = 50,018.04 × 12,564
  4. Step 4: Simplify right side
    33,340.68x = 628,426,654.56
  5. Step 5: Solve for x
    x = 628,426,654.56/33,340.68
  6. Step 6: Final answer
    x = 18,848.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.